(a) Given the statement: atbtc=d Where (a, b, c, d e Z+) Now, given the following propositions: P states that d is even. . W states that only one of a, b, and care even. T states that all of a, b, and care even. Use a proof by cases to show P H (W VT). Now we have: qa+batcaad Where (a, b, c, d e Z+) Given the following assertions: P: d is even R: a, b, c are all even. Use a proof by cases to show P R Note: An odd number equals 2m + 1 Now we have: qa+batcaad Where (a, b, c, d e Z+) Given the following assertions: P: d is even R: a, b, c are all even. Use a proof by cases to show P R Note: An odd number equals 2m + 1